dorsal/arxiv
View SchemaA two stage model for quantitative PCR
| Authors | Emily Stone, John Goldes, Martha Garlick |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0603004 |
| URL | https://arxiv.org/abs/q-bio/0603004 |
Abstract
PCR (Polymerase Chain Reaction), a method which replicates a selected sequence of DNA, has revolutionized the study of genomic material, but mathematical study of the process has been limited to simple deterministic models or descriptions relying on stochastic processes. In this paper we develop a suite of deterministic models for the reactions of quantitative PCR (Polymerase Chain Reaction) based on the law of mass action. Maps are created from DNA copy number in one cycle to the next, with ordinary differential equations describing the evolution of difference molecular species during each cycle. Qualitative analysis is preformed at each stage and parameters are estimated by fitting each model to data from Roche LightCycler (TM) runs.
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"abstract": "PCR (Polymerase Chain Reaction), a method which replicates a selected\nsequence of DNA, has revolutionized the study of genomic material, but\nmathematical study of the process has been limited to simple deterministic\nmodels or descriptions relying on stochastic processes. In this paper we\ndevelop a suite of deterministic models for the reactions of quantitative PCR\n(Polymerase Chain Reaction) based on the law of mass action. Maps are created\nfrom DNA copy number in one cycle to the next, with ordinary differential\nequations describing the evolution of difference molecular species during each\ncycle. Qualitative analysis is preformed at each stage and parameters are\nestimated by fitting each model to data from Roche LightCycler (TM) runs.",
"arxiv_id": "q-bio/0603004",
"authors": [
"Emily Stone",
"John Goldes",
"Martha Garlick"
],
"categories": [
"q-bio.BM"
],
"title": "A two stage model for quantitative PCR",
"url": "https://arxiv.org/abs/q-bio/0603004"
},
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